{x²-x-6≤0
x²+x-2≥0
система неравенств 2-й степени, решаем методом интеравлов каждое неравенство.
1. x²-x-6≤0
x²-x-6=0, x₁=-2, x₂=3
+ - +
----------|------------|------------->x
-2 ////////////3
x∈[-2;3]
2. x²+x-2≥0
x²+x-2=0. x₁=-2, x₂=1
+ - +
-------------|-----------|---------------->x
\\\\\\\\\\\\ -2 1\\\\\\\\\\\\\\\\\\
решение системы неравенств:
///////////////////// 3
------------|----------|-------|------------>x
\\\\\\\\\\\\\ -2 1\\\\\\\\\\\\\\\\\\\\\\\\
ответ: {-2}U[1;3]